191390114938880 has 512 divisors, whose sum is σ = 543579619201920. Its totient is φ = 63772840427520.

The previous prime is 191390114938871. The next prime is 191390114938903. The reversal of 191390114938880 is 88839411093191.

191390114938880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×191390114938880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3209759627 + ... + 3209819253.

Almost surely, 2^{191390114938880} is an apocalyptic number.

191390114938880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191390114938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271789809600960).

191390114938880 is an abundant number, since it is smaller than the sum of its proper divisors (352189504263040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

191390114938880 is a wasteful number, since it uses less digits than its factorization.

191390114938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59823 (or 59795 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 65.

The spelling of 191390114938880 in words is "one hundred ninety-one trillion, three hundred ninety billion, one hundred fourteen million, nine hundred thirty-eight thousand, eight hundred eighty".